Answer: x=22
Step-by-step explanation:
We know that the exterior angle of a triangle is the sum of opposite interior angle.
For the given triangle, the exterior angle =[tex](6x+1)^{\circ}[/tex]
The two opposite interior angles = [tex]79^{\circ}\ \&\ (2x+10)^{\circ}[/tex]
Using property :-
[tex]\text{Exterior angle = Sum of two opposite interior angle}\\\\\Rightarrow\ 6x+1=79+2x+10\\\\\Rightarrow\ 6x-2x=79+10-1\\\\\Rightarrow\ 4x=88\\\\\Rightarrow\ x=22[/tex]
Hence, the value of x = 22
